13x-10=4(3x+3)-2

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Solution for 13x-10=4(3x+3)-2 equation:


Simplifying
13x + -10 = 4(3x + 3) + -2

Reorder the terms:
-10 + 13x = 4(3x + 3) + -2

Reorder the terms:
-10 + 13x = 4(3 + 3x) + -2
-10 + 13x = (3 * 4 + 3x * 4) + -2
-10 + 13x = (12 + 12x) + -2

Reorder the terms:
-10 + 13x = 12 + -2 + 12x

Combine like terms: 12 + -2 = 10
-10 + 13x = 10 + 12x

Solving
-10 + 13x = 10 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
-10 + 13x + -12x = 10 + 12x + -12x

Combine like terms: 13x + -12x = 1x
-10 + 1x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + 1x = 10 + 0
-10 + 1x = 10

Add '10' to each side of the equation.
-10 + 10 + 1x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 10 + 10
1x = 10 + 10

Combine like terms: 10 + 10 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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